Sul postulato della completezza lineare dell'Hilbert

Sunto Si disente criticamente il detto postulato, con particolare riguardo al problema della sua compatibilità entro il sistema ipotetico — deduttivo dell'Hilbert. A Giovanni Sansone nel suo 70^mo compleanno.     

Sulle successioni di funzioni quasi continue negli spazi astratti

Sunto Si studia una definizione del tutto generale di funzione quasi continua; si enuncia e dimostra poi un teorema, concettualmente nuovo, per le successioni di funzioni che sono quasi continue nel senso generale studiato. A Mauro Picone nel suo 70^mo compleanno. Lavoro eseguito presso l'Istituto Nazionale per le Applicazioni del Calcolo.     

Two arc cracks around a circular rigid inclusion

Summary The problem of two symmetric arc cracks lying between a rigid circular inclusion embedded in an infinite matrix under biaxial loading at infinity is considered. By using the complex variable tecnique, the boundary value problem is solved and stress and displacement components are calculated along the inclusion boundary. Moreover, investigating the local stress field, a stress criterion, already proposed by authors, allowing either the crack extension at the interface or its deviation into the matrix to be taken into account, is applied to study the fracture response of the elastic system. The critical applied loads as well as the angle of the incipient crack extension are expressed in terms of the central angle subtended by the crack arcs.Finally the biaxial load effects are graphically shown and discussed.

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Sommario Si considera il problema piano di due «craks» simmetrici all'interfaccia tra una inclusione circolare rigida e la circostante matrice, in regime di carico biassiale. Facendo uso della tecnica delle variabili complesse, viene risolto il problema dei valori al contorno, ricavando altresi le espressioni delle tensioni e degli spostamenti lungo il contorno dell'inclusione. Inoltre, applicando un criterio tensionale, già proposto dagli autori, che consente di studiare sia la estensione del crack all'interfaccia che la sua deviazione nella matrice, si analizza la risposta del sistema considerato. I valori critici dei carichi applicati, nonchè l'angolo di frattura, risultano espressi in funzione dell'angolo al centro sotteso dai cracks.Infine, vengono illustrati graficamente e discussi gli effetti del carico laterale.

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Financial support of the National Research Council (C.N.R.) (research contribution N. 79.01625.07) is gratefully acknowledged.     

High energy radiation fluences in the ISS-USLab: Ion discrimination and particle abundances

The ALTEA (Anomalous Long Term Effects on Astronauts) detector was used to characterize the radiation environment inside the USLab of the International Space Station (ISS), where it measured the abundances of ions from Be to Fe. We compare the ALTEA results with Alteino results obtained in the PIRS module of the Russian segment of the ISS, and normalize to the high energy Si abundances given by Simpson. These are the first particle spectral measurements, which include ions up to Fe, performed in the USLab. The small differences observed between those made inside the USLab and the Simpson abundances can be attributed to the transport through the spacecraft hull. However, the low abundance of Fe cannot be attributed to only this process.     

Enhanced convergence and robust performance of randomized dynamical decoupling

We demonstrate the advantages of randomization in coherent quantum dynamical control. For systems which are either time-varying or require decoupling cycles involving a large number of operations, we find that simple randomized protocols offer superior convergence and stability as compared to deterministic counterparts. In addition, we show how randomization may allow us to outperform purely deterministic schemes at long times, including combinatorial and concatenated methods. General criteria for optimally interpolating between deterministic and stochastic design are proposed and illustrated in explicit decoupling scenarios relevant to quantum information storage.     

Analysis and parametric optimization of 1H off-resonance relaxation NMR experiments designed to map polypeptide self-recognition and other noncovalent interactions

The measurement of 1H off-resonance nonselective relaxation rates (R(theta,ns)) has been recently proposed as an effective method to probe peptide self-recognition, opening new perspectives in the understanding of the prefibrillization oligomerization processes in amylodogenesis. However, a full analysis and parametric optimization of the NMR experiments designed to measure R(theta,ns) relaxation rates is still missing. Here we analyze the dependence of the R(theta,ns) rates upon three critical parameters: the tilt angle of the effective field during the spin lock, the static magnetic field, and finally the repetition delay. Our analysis reveals that the tilt angle theta = 35.5 degrees not only minimizes spin-diffusion, but also avoids experimental artifacts such as J-transfer and poor adiabaticity. In addition, we found that when the dominant relaxation mechanism is caused by uncorrelated pairwise 1H dipole-1H dipole interactions the R(35.5 degrees,ns) rate is not significantly affected by static field variations, suggesting a wide applicability of the 1H off-resonance nonselective relaxation experiment. Finally, we show that the self-recognition maps based on the comparative analysis of the R(35.5 degrees,ns) rates can tolerate decreases in the interscan delays without significantly compromising the identification of critical self-association loci. These considerations not only provide a better understanding of the 1H off-resonance nonselective relaxation, but they also serve as guidelines for the optimal setup of this experiment.     

Classification and decomposition of Quantum Markov Semigroups

We show that a QMS on a σ-finite von Neumann algebra can be decomposed as the sum of several ``sub'-semigroups corresponding to transient and recurrent projections. We discuss two applications to physical models.     

A simple separable exact C*-algebra not anti-isomorphic to itself

We give an example of an exact, stably finite, simple, separable C*-algebra D which is not isomorphic to its opposite algebra. Moreover, D has the following additional properties. It is stably finite, approximately divisible, has real rank zero and stable rank one, has a unique tracial state, and the order on projections over D is determined by traces. It also absorbs the Jiang-Su algebra Z, and in fact absorbs the 3^∞ UHF algebra. We can also explicitly compute the K-theory of D, namely ${K_0 (D) \cong {\mathbb{Z}} [ \tfrac{1}{3}]}$ with the standard order, and K ₁ (D) =  0, as well as the Cuntz semigroup of D, namely ${W (D) \cong {\mathbb{Z}} [ \tfrac{1}{3} ]_{+} \sqcup (0, \infty).}$      

Analysis of breakdown process at U50 voltage for plane rod discharges by means of Neural Networks

The influence of many parameters on the electric discharges at U50% can only be correlated by means of an analysis of a large amount of experimental data. The 50% probability of breakdown is considered a random process. We have investigated how to find relevant statistical differences leading to breakdown or withstanding during an impulse voltage test under the same conditions for a plane high voltage electrode and a grounded electrode configuration. An analysis based on Neural Network discrimination has been developed which indicates that measurements do contain some relevant information test at early stages in a reduced time frame.